Finite Group Databasebeta

← #35421269

Subgroups — #35421269

Order 21248.

1054 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128424C211yesmaximal, characteristic
2C2×#19127832C211yesmaximal, characteristic, complemented
3#24908395C211yesmaximal, characteristic
4#24908395C211yesmaximal, characteristic
5#24908386C211yesmaximal, characteristic, complemented
6#24908282C211yesmaximal, characteristic, complemented
7#24908277C211yesmaximal, characteristic
8#24908272C211yesmaximal, characteristic
9#24907475C211yesmaximal, characteristic, complemented
10#24907470C211yesmaximal, characteristic
11#24907465C211yesmaximal, characteristic, complemented
12#24907296C211yesmaximal, characteristic, complemented
13#24907291C211yesmaximal, characteristic
14C4×#14581715C211yesmaximal, characteristic, complemented
15C83×#2355C211yesmaximal, characteristic, complemented
16#19128424—24no—
17#19128424C418yescomplemented
18C2×#14581792C2211yescharacteristic
19C2×#14581787—21no—
20C2×#14581787—21no—
21C2×#14581780C2211yescharacteristic
22C2×#14581780C2211yescharacteristic
23C2×#14581768—21no—
24C2×C4×Dic166C2211yescharacteristic
25C2×C4×Dic166C2211yescharacteristic
26C2×C4×D332C2211yescharacteristic
27C2×#14581750—21no—
28#19127832—24no—
29C2×C4⋊(C83⋊C8)C2211yescharacteristic
30C2×C4⋊(C83⋊C8)C2211yescharacteristic
31C2×C4⋊(C83⋊C8)C2211yescharacteristic
32C2×#14581715C2211yescharacteristic
33C2×#14581715C2211yescharacteristic
34C2×#14581715C2211yescharacteristic
35C2×#14581715C2211yescharacteristic
36C2×#14581715C2211yescharacteristic
37C2×#14581715C2211yescharacteristic
38C2×#14581715C2211yescharacteristic
39C2×#14581715C2211yescharacteristic
40C2×#14581712C2211yescharacteristic
41C2×#14581712C2211yescharacteristic
42C2×#14581712C2211yescharacteristic
43C2×#14581712C2211yescharacteristic
44C2×#14581703C2211yescharacteristic
45C2×#14581703C2211yescharacteristic
46C2×C4×C83⋊C8C2211yescharacteristic
47#19127463C2211yescharacteristic
48#19127463C2211yescharacteristic
49#19127463C2211yescharacteristic
50#19127463C2211yescharacteristic
51C2×C4×Q8×C83C2211yescharacteristic
52#391×C83—21no—
53#387×C83—21no—
54#387×C83—21no—
55#384×C83C2211yescharacteristic
56#382×C83C2211yescharacteristic
57#382×C83C2211yescharacteristic
58C4×C4⋊C4×C83—21no—
59C4×C4⋊C4×C83C2211yescharacteristic
60C4×C4⋊C4×C83C2211yescharacteristic
61C4×C4⋊C4×C83C2211yescharacteristic
62C22×Dic166C2311yescharacteristic
63C22×Dic166C2311yescharacteristic
64C22×D332C2311yescharacteristic
65C22×C4×D83—21no—
66C22×C83⋊C8C2311yescharacteristic
67C22×C83⋊C8C2311yescharacteristic
68C22×C83⋊C8C2311yescharacteristic
69C22×C83⋊C8C2311yescharacteristic
70#14581792—22no—
71#14581792C2×C414yes—
72#14581787—28no—
73#14581787—28no—
74#14581780—22no—
75#14581780—22no—
76#14581780C2×C414yes—
77#14581780C2×C414yes—
78#14581768—28no—
79C4×Dic166—22no—
80C4×Dic166—22no—
81C4×Dic166C2×C414yes—
82C4×Dic166C2×C414yes—
83C4×D332—22no—
84C4×D332C2×C414yes—
85#14581750—28no—
86C2×C4⋊Dic83—21no—
87C2×C4⋊Dic83—21no—
88C2×C4⋊Dic83C2311yescharacteristic
89C2×Dic83⋊C4—21no—
90C2×Dic83⋊C4—21no—
91C2×(C2×D83)⋊C4—21no—
92C2×(C2×D83)⋊C4—21no—
93C2×(C2×D83)⋊C4—21no—
94C2×(C2×D83)⋊C4—21no—
95C2×(C2×D83)⋊C4—21no—
96C2×C4×Dic83—21no—
97C2×C4×Dic83—21no—
98C4⋊(C83⋊C8)—22no—
99C4⋊(C83⋊C8)—22no—
100C4⋊(C83⋊C8)—22no—
101#14581715—22no—
102#14581715—22no—
103#14581715—22no—
104#14581715—22no—
105#14581715—41no—
106#14581715—41no—
107#14581715—41no—
108#14581715—41no—
109#14581712—22no—
110#14581712—22no—
111#14581712—41no—
112#14581712—41no—
113#14581703—22no—
114#14581703—22no—
115C4×C83⋊C8—22no—
116C22×Q8×C83D411yescharacteristic
117C4×Q8×C83C2×C414yes—
118C4×Q8×C83D414yes—
119C2×C4⋊C4×C83—21no—
120C2×C4⋊C4×C83—21no—
121C2×C4⋊C4×C83D411yescharacteristic
122C2×C4⋊C4×C83D411yescharacteristic
123C2×C4⋊C4×C83D411yescharacteristic
124C2×C4⋊C4×C83C2311yescharacteristic
125C2×C4⋊C4×C83C2311yescharacteristic
126C2×C4⋊C4×C83C2311yescharacteristic
127C2×C4⋊C4×C83C2311yescharacteristic
128C2×C42×C83—21no—
129C2×C42×C83—21no—
130C2×C42×C83—21no—
131C2×C42×C83C2311yescharacteristic
132C2×C42×C83C2311yescharacteristic
133C2×C42×C83C2311yescharacteristic
134#95×C83—21no—
135#95×C83—21no—
136#95×C83—21no—
137#95×C83—21no—
138#95×C83—21no—
139#95×C83—21no—
140#95×C83—21no—
141C23×D83—21no—
142C2×Dic166—21no—
143C2×Dic166—21no—
144C2×Dic166—21no—
145C2×Dic166—21no—
146C2×Dic166—21no—
147C2×Dic166—21no—
148C2×Dic166—21no—
149C2×Dic166—21no—
150C2×Dic166—21no—
151C2×Dic166—21no—
152C2×Dic166C22×C412yes—
153C2×Dic166C22×C412yes—
154C2×D332—21no—
155C2×D332—21no—
156C2×D332—21no—
157C2×D332—21no—
158C2×D332—21no—
159C2×D332C22×C412yes—
160C22×Dic83—21no—
161C22×Dic83—21no—
162C22×Dic83—21no—
163C2×C4×D83—24no—
164C2×C4×D83—42no—
165C2×C4×D83—42no—
166C2×C83⋊C8—21no—
167C2×C83⋊C8—21no—
168C2×C83⋊C8—21no—
169C2×C83⋊C8—21no—
170C2×C83⋊C8—21no—
171C2×C83⋊C8—21no—
172C2×C83⋊C8—21no—
173C2×C83⋊C8—21no—
174C2×C83⋊C8—21no—
175C2×C83⋊C8—21no—
176C2×C83⋊C8—21no—
177C2×C83⋊C8#4112yes—
178C4⋊Dic83—24no—
179C4⋊Dic83—24no—
180C4⋊Dic83—21no—
181C4⋊Dic83C22×C412yes—
182Dic83⋊C4—24no—
183Dic83⋊C4—24no—
184(C2×D83)⋊C4—24no—
185(C2×D83)⋊C4—24no—
186(C2×D83)⋊C4—24no—
187(C2×D83)⋊C4—24no—
188(C2×D83)⋊C4—24no—
189C4×Dic83—24no—
190C4×Dic83—24no—
191C2×Q8×C83—41no—
192C2×Q8×C83—41no—
193C2×Q8×C83C22⋊C414yes—
194C22×C4×C83—21no—
195C22×C4×C83—21no—
196C22×C4×C83—21no—
197C22×C4×C83—21no—
198C22×C4×C83C2×D411yescharacteristic
199C22×C4×C83C2×D411yescharacteristic
200C22×C4×C83C2×D411yescharacteristic
201C22×C4×C83C2×D411yescharacteristic
202C22×C4×C83C2×D411yescharacteristic
203C22×C4×C83C2×D411yescharacteristic
204C22×C4×C83C2411yescharacteristic
205C4⋊C4×C83—21no—
206C4⋊C4×C83—21no—
207C4⋊C4×C83—21no—
208C4⋊C4×C83—21no—
209C4⋊C4×C83—21no—
210C4⋊C4×C83—21no—
211C4⋊C4×C83—21no—
212C4⋊C4×C83—42no—
213C4⋊C4×C83—81no—
214C4⋊C4×C83C22⋊C414yes—
215C4⋊C4×C83C22⋊C414yes—
216C4⋊C4×C83C22⋊C414yes—
217C4⋊C4×C83#4112yes—
218C42×C83—42no—
219C42×C83—81no—
220C42×C83—81no—
221C42×C83C22×C412yes—
222C42×C83C22×C412yes—
223C42×C83C22×C412yes—
224C42×C83C2×D412yes—
225C42×C83C2×D412yes—
226C42×C83C2×D412yes—
227C23×C83C22×D411yescharacteristic
228C22×D83—22no—
229C22×D83—41no—
230C22×D83—41no—
231C22×D83—41no—
232C22×D83—41no—
233C22×D83—41no—
234C22×D83—41no—
235Q8×C83—44no—
236C2×C4×C83—21no—
237C2×C4×C83—21no—
238C2×C4×C83—21no—
239C2×C4×C83—21no—
240C2×C4×C83—21no—
241C2×C4×C83—21no—
242C2×C4×C83—21no—
243C2×C4×C83—21no—
244C2×C4×C83—21no—
245C2×C4×C83—21no—
246C2×C4×C83—21no—
247C2×C4×C83—21no—
248C2×C4×C83—22no—
249C2×C4×C83—41no—
250C2×C4×C83—41no—
251C2×C4×C83—41no—
252C2×C4×C83—41no—
253C2×C4×C83—41no—
254C2×C4×C83—41no—
255C2×C4×C83—41no—
256C2×C4×C83—41no—
257C2×C4×C83—41no—
258C2×C4×C83—41no—
259C2×C4×C83—41no—
260C2×C4×C83C2×C22⋊C412yes—
261C2×C4×C83C2×C22⋊C412yes—
262C2×C4×C83C2×C22⋊C412yes—
263C2×C4×C83C2×C22⋊C412yes—
264C2×C4×C83C2×C22⋊C412yes—
265C2×C4×C83C2×C22⋊C412yes—
266C2×C4×C83C23×C411yescharacteristic
267C2×C4×C83C22×D411yescharacteristic
268C2×C4×C83C2×#4111yescharacteristic
269C2×C4×C83C2×#4111yescharacteristic
270C2×C4×C83H(5,𝔽2)11yescharacteristic
271C2×C4×C832−1+411yescharacteristic
272C2×Dic83—22no—
273C2×Dic83—22no—
274C2×Dic83—22no—
275C2×Dic83—41no—
276C2×Dic83—41no—
277C2×Dic83—41no—
278C2×Dic83—41no—
279C2×Dic83—41no—
280C2×Dic83—41no—
281D332—22no—
282D332—22no—
283D332—41no—
284D332—41no—
285C4×D83—48no—
286Dic166—22no—
287Dic166—22no—
288Dic166—22no—
289Dic166—22no—
290Dic166—41no—
291Dic166—41no—
292Dic166—41no—
293Dic166—41no—
294C83⋊C8—22no—
295C83⋊C8—41no—
296C83⋊C8—41no—
297C83⋊C8—41no—
298C22×C83C22×C22⋊C411yescharacteristic
299C22×C83#54811yescharacteristic
300C22×C83#55011yescharacteristic
301C22×C83#57511yescharacteristic
302C22×C83#57511yescharacteristic
303C22×C83#57711yescharacteristic
304C22×C83#57811yescharacteristic
305C2×D83—42no—
306C2×D83—42no—
307C2×D83—42no—
308C2×D83—81no—
309C2×D83—81no—
310C2×D83—81no—
311C2×D83—81no—
312C4×C83—22no—
313C4×C83—22no—
314C4×C83—22no—
315C4×C83—22no—
316C4×C83—22no—
317C4×C83—22no—
318C4×C83—42no—
319C4×C83—81no—
320C4×C83—81no—
321C4×C83—81no—
322C4×C83C4×#4111yescharacteristic
323C4×C83#52011yescharacteristic
324C4×C83#54811yescharacteristic
325C4×C83#55011yescharacteristic
326Dic83—42no—
327Dic83—42no—
328Dic83—42no—
329#22548—831nomaximal, Sylow
330C2×C83#234111yescharacteristic
331C2×C83#289611yescharacteristic
332C2×C83#289811yescharacteristic
333C2×C83#337611yescharacteristic
334C2×C83#337711yescharacteristic
335C2×C83#340111yescharacteristic
336C2×C83#340211yescharacteristic
337D83—82no—
338C2×#556—831no—
339C2×#446—831no—
340#2355D8311yescharacteristic, complemented
341#1983—831no—
342#1983—831no—
343#1981—831no—
344#1960—831no—
345#1959—831no—
346#1958—831no—
347#1805—831no—
348#1804—831no—
349#1803—831no—
350#1763—831no—
351#1762—831no—
352C4×#103—831no—
353C83#2254811yescharacteristic, complemented, Sylow
354#556—838no—
355#556—1664no—
356C2×C4⋊Q8—831no—
357C2×#126—1661no—
358C2×#126—1661no—
359C2×#124—831no—
360C2×#124—831no—
361C2×C22⋊Q8—1661no—
362C2×C4×Q8—831no—
363C2×C4×Q8—831no—
364C2×C4×Q8C2×D8311yescharacteristic
365C2×C4×D4—831no—
366C2×#117—1661no—
367#446—1664no—
368C2×C4⋊C8—831no—
369C2×C4⋊C8—831no—
370C2×C4⋊C8—831no—
371C2×#103—831no—
372C2×#103—831no—
373C2×#103—831no—
374C2×#103—831no—
375C2×#103—831no—
376C2×#103—831no—
377C2×#103—831no—
378C2×#103—831no—
379C2×#102—831no—
380C2×#102—831no—
381C2×#102—831no—
382C2×#102—831no—
383C2×#97—831no—
384C2×#97—831no—
385C2×C4×C8—831no—
386#391—21no—
387#387—21no—
388#387—21no—
389#384C2×D8311yescharacteristic
390#382C2×D8311yescharacteristic
391#382C2×D8311yescharacteristic
392C4×C4⋊C4—21no—
393C4×C4⋊C4C2×D8311yescharacteristic
394C4×C4⋊C4C2×D8311yescharacteristic
395C4×C4⋊C4C2×D8311yescharacteristic
396#340—831no—
397#340—831no—
398#340—831no—
399#340—831no—
400C22×Q8—831no—
401C22×Q8—831no—
402C22×Q8C22⋊D8311yescharacteristic
403C22×D4—831no—
404C23×C4—1661no—
405C22×C8—831no—
406C22×C8—831no—
407C22×C8—831no—
408C22×C8—831no—
409C4⋊Q8—834no—
410C4⋊Q8—1662no—
411#126—1668no—
412#126—1668no—
413#124—834no—
414#124—834no—
415#124—1662no—
416#124—1662no—
417C22⋊Q8—1668no—
418C4×Q8—834no—
419C4×Q8—834no—
420C4×Q8—1662no—
421C4×Q8—1662no—
422C4×Q8C4×D8314yes—
423C4×Q8D33214yes—
424C4×D4—834no—
425C4×D4—1662no—
426#117—1668no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—831no—
430C2×C4⋊C4—1661no—
431C2×C4⋊C4—1661no—
432C2×C4⋊C4—1661no—
433C2×C4⋊C4—1661no—
434C2×C4⋊C4C22⋊D8311yescharacteristic
435C2×C4⋊C4C22⋊D8311yescharacteristic
436C2×C4⋊C4C22⋊D8311yescharacteristic
437C2×C4⋊C4C22×D8311yescharacteristic
438C2×C4⋊C4C22×D8311yescharacteristic
439C2×C4⋊C4C22×D8311yescharacteristic
440C2×C4⋊C4C22×D8311yescharacteristic
441C2×C22⋊C4—1661no—
442C2×C22⋊C4—1661no—
443C2×C22⋊C4—1661no—
444C2×C22⋊C4—1661no—
445C2×C22⋊C4—1661no—
446C2×C42—21no—
447C2×C42—21no—
448C2×C42—21no—
449C2×C42—1661no—
450C2×C42—1661no—
451C2×C42C22×D8311yescharacteristic
452C2×C42C22×D8311yescharacteristic
453C2×C42C22×D8311yescharacteristic
454C4⋊C8—1662no—
455C4⋊C8—1662no—
456C4⋊C8—1662no—
457#103—3321no—
458#103—3321no—
459#103—3321no—
460#103—3321no—
461#103—1662no—
462#103—1662no—
463#103—1662no—
464#103—1662no—
465#102—3321no—
466#102—3321no—
467#102—1662no—
468#102—1662no—
469#97—1662no—
470#97—1662no—
471C4×C8—1662no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479C24—1661no—
480C2×Q8—41no—
481C2×Q8—41no—
482C2×Q8—832no—
483C2×Q8—832no—
484C2×Q8—1661no—
485C2×Q8—1661no—
486C2×Q8—1661no—
487C2×Q8—1661no—
488C2×Q8—1661no—
489C2×Q8—1661no—
490C2×Q8—1661no—
491C2×Q8—1661no—
492C2×Q8—1661no—
493C2×Q8—1661no—
494C2×Q8(C2×D83)⋊C414yes—
495C2×D4—832no—
496C2×D4—1661no—
497C2×D4—1661no—
498C2×D4—1661no—
499C2×D4—1661no—
500C2×D4—1661no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—3322no—
506C22×C4—3322no—
507C22×C4—1661no—
508C22×C4—1661no—
509C22×C4—1661no—
510C22×C4—1664no—
511C22×C4C2×C22⋊D8311yescharacteristic
512C22×C4C2×C22⋊D8311yescharacteristic
513C22×C4C2×C22⋊D8311yescharacteristic
514C22×C4C2×C22⋊D8311yescharacteristic
515C22×C4C2×C22⋊D8311yescharacteristic
516C22×C4C2×C22⋊D8311yescharacteristic
517C22×C4C23×D8311yescharacteristic
518C2×C8—832no—
519C2×C8—1661no—
520C2×C8—1661no—
521C2×C8—1661no—
522C2×C8—1661no—
523C2×C8—1661no—
524C2×C8—1661no—
525C2×C8—1661no—
526C2×C8—1661no—
527C2×C8—1661no—
528C2×C8—1661no—
529C2×C8—1661no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—832no—
540C4⋊C4—1661no—
541C4⋊C4—1664no—
542C4⋊C4—1664no—
543C4⋊C4—1664no—
544C4⋊C4—1664no—
545C4⋊C4(C2×D83)⋊C414yes—
546C4⋊C4(C2×D83)⋊C414yes—
547C4⋊C4(C2×D83)⋊C414yes—
548C4⋊C4#1305059112yes—
549C22⋊C4—1664no—
550C22⋊C4—1664no—
551C22⋊C4—1664no—
552C22⋊C4—1664no—
553C22⋊C4—1664no—
554C42—42no—
555C42—81no—
556C42—81no—
557C42—1664no—
558C42—1664no—
559C42C2×C4×D8312yes—
560C42C2×C4×D8312yes—
561C42C2×C4×D8312yes—
562C42C2×D33212yes—
563C42C2×D33212yes—
564C42C2×D33212yes—
565C23—3321no—
566C23—3321no—
567C23—3321no—
568C23—3321no—
569C23—3321no—
570C23—3321no—
571C23—1662no—
572C23C22×C22⋊D8311yescharacteristic
573Q8—44no—
574Q8—3321no—
575Q8—3321no—
576Q8—3321no—
577Q8—3321no—
578Q8—1662no—
579Q8—1662no—
580Q8—1662no—
581Q8—1662no—
582D4—3321no—
583D4—3321no—
584D4—1662no—
585D4—1662no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—3328no—
611C2×C4—3321no—
612C2×C4—3321no—
613C2×C4—3321no—
614C2×C4—3321no—
615C2×C4—3321no—
616C2×C4—3321no—
617C2×C4—1662no—
618C2×C4—1662no—
619C2×C4—1662no—
620C2×C4C2×(C2×D83)⋊C412yes—
621C2×C4C2×(C2×D83)⋊C412yes—
622C2×C4C2×(C2×D83)⋊C412yes—
623C2×C4C2×(C2×D83)⋊C412yes—
624C2×C4C2×(C2×D83)⋊C412yes—
625C2×C4C2×(C2×D83)⋊C412yes—
626C2×C4C22×C4×D8311yescharacteristic
627C2×C4C22×D33211yescharacteristic
628C2×C4#41×D8311yescharacteristic
629C2×C4C2×#1305059111yescharacteristic
630C2×C4#1458183811yescharacteristic
631C2×C4#1458184011yescharacteristic
632C8—3321no—
633C8—3321no—
634C8—3321no—
635C8—1662no—
636C22—3322no—
637C22—3322no—
638C22—3322no—
639C22—6641no—
640C22—6641no—
641C22—6641no—
642C22—6641no—
643C22C22×(C2×D83)⋊C411yescharacteristic
644C22#1912836211yescharacteristic
645C22#1912837011yescharacteristic
646C22#1912849911yescharacteristic
647C22#1912849911yescharacteristic
648C22#1912851211yescharacteristic
649C22#1912851611yescharacteristic
650C4—22no—
651C4—22no—
652C4—22no—
653C4—22no—
654C4—22no—
655C4—22no—
656C4—42no—
657C4—81no—
658C4—81no—
659C4—81no—
660C4—3322no—
661C4—3322no—
662C4—3322no—
663C4C4×#1305059111yescharacteristic
664C4#1912818311yescharacteristic
665C4#1912836311yescharacteristic
666C4#1912837311yescharacteristic
667C2—6642no—
668C2#2491030111yescharacteristic
669C2#2491598011yescharacteristic
670C2#2491599311yescharacteristic
671C2#2492029011yescharacteristic
672C2#2492030511yescharacteristic
673C2#2492052311yescharacteristic
674C2#2492053811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#2355C2
socleC23×C83C22×D4
prime radicalC22×D332C23
cosocleC22×C4×C83C24
hypercenter#2355D83
hypocenterC83#22548
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2355

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#19127832C2semidirect
5. #24908386C2semidirect
6. #24908282C2semidirect
9. #24907475C2semidirect
11. #24907465C2semidirect
12. #24907296C2semidirect
14. C4×#14581715C2semidirect
15. C83×#2355C2semidirect
17. #19128424C4semidirect
340. #2355D83semidirect
353. C83#22548semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#191284242
C2×#191278322
#249083952
#249083862
#249082822
#249082772
#249082722
#249074752
#249074702
#249074652
#249072962
#249072912
C4×#145817152
C83×#23552
#2254883